A group of friends makes a video and posts it on YouTube - Junior Cycle Mathematics - Question 9 - 2018
Question 9
A group of friends makes a video and posts it on YouTube.
They know that they will be paid approximately €15 for each 10 000 views of the video.
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Worked Solution & Example Answer:A group of friends makes a video and posts it on YouTube - Junior Cycle Mathematics - Question 9 - 2018
Step 1
Work out how many views of the video they would need in order to be paid €45.
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Answer
To find out how many views are needed to earn €45, we start by using the given payment rate of €15 per 10,000 views. The steps are as follows:
Set up the proportion:
ext{Let } v ext{ = number of views needed.} \\
rac{€15}{10,000 ext{ views}} = rac{€45}{v}
Cross-multiply to solve for v:
15v=45imes10,00015v=450,000
Divide both sides by 15:
v = rac{450,000}{15} = 30,000 ext{ views}
Thus, they would need 30,000 views.
Step 2
Work out how much (in euro) they will be paid for 80 000 views of the video.
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Answer
With 80,000 views, the payment can be calculated using the same rate:
Determine how many units of 10,000 views are in 80,000 views:
rac{80,000}{10,000} = 8 ext{ units}
Calculate the payment:
8imes€15=€120
Therefore, they will be paid €120 for 80,000 views.
Step 3
Work out how much (in euro) they will be paid, on average, for 1 view of the video.
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Answer
To find the average payment per view, we take the total payment for 10,000 views and divide it by 10,000:
Calculate average payment:
rac{€15}{10,000} = €0.0015 ext{ per view}
Thus, they will be paid on average €0.0015 for 1 view.
Step 4
Write an expression in x for the profit (in euro) they will get for x views of the video.
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Answer
The profit can be calculated using the revenue generated from views minus the cost of making the video. The formula is: